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Finding the Third Proportional to 332,937.75 and 733,742.25

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Solution

The third proportional to 332,937.75 and 733,742.25 is: 1,617,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,937.75 : 733,742.25 = 733,742.25 : x
  2. Step 2: Convert to fraction form
    332,937.75/733,742.25 = 733,742.25/x
  3. Step 3: Cross multiply
    332,937.75x = 733,742.25 × 733,742.25
  4. Step 4: Simplify right side
    332,937.75x = 538,377,689,435.06
  5. Step 5: Solve for x
    x = 538,377,689,435.06/332,937.75
  6. Step 6: Final answer
    x = 1,617,052.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.